Michael’s unit 8 puzzle

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Across
  1. 2. (Radius is half the diameter)
  2. 6. (Circumference = 2πr = 2π(5) = 10π)
  3. 9. (Diagonal of square = diameter = 6√2. Side length = 6. Area = 6^2 = 36)
  4. 10. (Arc Length = (180/360) * 2π(12) = 12π)
  5. 11. (Radius is half the side length of the circumscribed square)
  6. 12. (Arc Length = (60/360) * 2π(6) = (1/6) * 12π = 2π)
  7. 13. (Area = π * r^2 = π * 5^2 = 25π)
  8. 14. (2πr = 18π -> r = 9)
  9. 15. (Radius = √1 = 1)
  10. 16. (Sector Area = (90/360) * π(4^2) = (1/4) * 16π = 4π)
Down
  1. 1. (Diameter = 2 * 11 = 22)
  2. 3. (π * r^2 = 64π -> r = 8)
  3. 4. KEY
  4. 5. (Half-chord forms a right triangle: 6^2 + b^2 = 10^2 -> b=8. Whole chord = 16)
  5. 7. (Half-chord forms a right triangle: 5^2 + b^2 = 13^2 -> b=12. Whole chord = 24)
  6. 8. (Radius = √225 = 15)
  7. 13. (Sector Area = (72/360) * π(10^2) = (1/5) * 100π = 20π)